Finding the Fourth Proportional to 6,105.16, 8,424.30 and 3,586.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,105.16 : 8,424.30 = 3,586.96 : x
2. Step 2: Convert to fraction form
   6,105.16/8,424.30 = 3,586.96/x
3. Step 3: Cross multiply
   6,105.16x = 8,424.30 × 3,586.96
4. Step 4: Simplify right side
   6,105.16x = 30,217,627.13
5. Step 5: Solve for x
   x = 30,217,627.13/6,105.16
6. Step 6: Final answer
   x = 4,949.52